What is expand (6+26x-x^2)/((2x-1)(x+2)^2) ?

The solution to expand (6+26x-x^2)/((2x-1)(x+2)^2) is (6+26x-x^2)/(2x^3+7x^2+4x-4)

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expand (6+26x-x^2)/((2x-1)(x+2)^2)

expand

\frac{6 + 26 x - x ^{2}}{( 2 x - 1 ) ( x + 2 ) ^{2}}

\frac{6 + 26 x - x ^{2}}{2 x ^{3} + 7 x ^{2} + 4 x - 4}

Solution steps

\frac{6 + 26 x - x ^{2}}{( 2 x - 1 ) ( x + 2 ) ^{2}}

(x + 2)^{2} = x^{2} + 4 x + 4

= \frac{6 + 26 x - x ^{2}}{( 2 x - 1 ) ( x ^{2} + 4 x + 4 )}

Expand

(2 x - 1) (x^{2} + 4 x + 4) : 2 x^{3} + 7 x^{2} + 4 x - 4

= \frac{6 + 26 x - x ^{2}}{2 x ^{3} + 7 x ^{2} + 4 x - 4}

\frac{1}{( 2 s + 1 ) ( s + 1 )}

π \cdot sin (b) \cdot k \cdot (cos^{2} (a) + 2 \cdot cos (a) + k^{2})

so l v e (x^{3} - 9 x - 7 = 0)

\frac{( 25 - 5 x ) ( x + 1 )}{2 x}

\frac{8 ( s + 2 )}{s ^{2} ( s + 2 ) ^{2} - 16}

What is expand (6+26x-x^2)/((2x-1)(x+2)^2) ?
The solution to expand (6+26x-x^2)/((2x-1)(x+2)^2) is (6+26x-x^2)/(2x^3+7x^2+4x-4)